Answer:
36.25 minutes
Step-by-step explanation:
Total volume of the first rectangular aquarium
[tex]=(9)(12)(14)\\=1512 in^{3}[/tex]
Rate at which hose sprays water
[tex]=\frac{volume}{time}\\\\=\frac{1512}{2} \\\\=756 in^{3}/min[/tex]
Since the same hose is used for the second time, this rate of hose spray is the same too for the second aquarium.
Total volume of the second aquarium
[tex]=(27)(29)(35)\\=27405 in^{3}[/tex]
Hence, time taken to fill second aquarium
[tex]=\frac{volume}{rate} \\\\=\frac{27405}{756} \\\\=36.25min[/tex]
